N. Gunalp et H. Tosun, A NEW DIFFERENTIAL FORMULATION OF ACOUSTIC SCATTERING BY ROTATIONALLYSYMMETRICAL PENETRABLE SCATTERERS, The Journal of the Acoustical Society of America, 96(1), 1994, pp. 536-544
A new differential formulation is presented for acoustic wave scatteri
ng from rotationally symmetric penetrable bodies. The numerical implem
entation of this formulation is fairly simple, and comprises basically
the construction of the state-transition matrix of a system of differ
ential equations and the solution of a matrix equation. The validity a
nd the accuracy of the numerical scheme are tested considering objects
of known scattering behavior. Other numerical applications are also p
resented to demonstrate the generality of the method in handling scatt
erers of arbitrary shapes and material compositions.